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2013-10-23 15:44:32 -0500 commented question integral curves in Sage

I can't seem to find this sort of functionality in the manuals.

2013-10-23 15:43:42 -0500 asked a question integral curves in Sage

(Forewarning: the typesetting here is seemingly awful. If you can find a better way of writing the math below than just plain text, please do.)

I have a vector field $V: R^2 \to R^2$ and I would like to find $f:(-\epsilon,\epsilon) \to R^2$, for some small $\epsilon>0$, such that $f(0)$ is a given point and $f'(t) = V(f(t))$.

Can Sage do this for me? If so, how?